10 citations · 10 across the 5 of their papers we have counts for
5 papers
On the number of components of a complete intersection of real quadrics
Alex Degtyarev, Ilia Itenberg, Viatcheslav Kharlamov
Our main results concern complete intersections of three real quadrics. We prove that the maximal number of connected components that a regular complete intersection of…
Deformation Finiteness for Real Hyperkahler Manifolds
Alex Degtyarev, Ilia Itenberg, Viatcheslav Kharlamov
We show that the number of equivariant deformation classes of real structures in a given deformation class of compact hyperkahler manifolds is finite.
Finiteness and Quasi-Simplicity for Symmetric K3-Surfaces
A. Degtyarev, I. Itenberg, V. Kharlamov
We compare the smooth and deformation equivalence of actions of finite groups on K3-surfaces by holomorphic and anti-holomorphic transformations. We prove that the number of deform…
Real Rational Surfaces Are Quasi-Simple
Alex Degtyarev, Viatcheslav Kharlamov
We show that a real rational (over $\C$) surfaces are quasi-simple, i.e., that such a surface is determined up to deformation in the class of real surfaces by the topological type…
Empty real Enriques surfaces and Enriques-Einstein-Hitchin 4-manifolds
A. Degtyarev, V. Kharlamov
We prove that the moduli space of empty real Enriques surfaces (and, thus, the moduli space of compact orientable 4-dimensional Einstein manifolds whose universal covering is a K3-…